Alg 2: Imaginary Numbers- Intro

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What is the definition of an imaginary number?

Back

An imaginary number is a number that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as the square root of -1.

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What is the value of i?

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CCSS.HSN.CN.A.1

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What is the value of i^2?

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i^2 = -1.

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What is the value of i^3?

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i^3 = i^2 * i = -1 * i = -i.

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What is the value of i^4?

Back

i^4 = (i^2)^2 = (-1)^2 = 1.

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Back

4i.

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3i.

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What is the product of two imaginary numbers, i and -i?

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i * -i = -i^2 = -(-1) = 1.

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CCSS.HSN.CN.A.2

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Back

-6i^2 = 6.

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15i.

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